420137952 has 48 divisors (see below), whose sum is σ = 1187701200. Its totient is φ = 129272832.

The previous prime is 420137903. The next prime is 420137953. The reversal of 420137952 is 259731024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420137953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167077 + ... + 169572.

It is an arithmetic number, because the mean of its divisors is an integer number (24743775).

Almost surely, 2^420137952 is an apocalyptic number.

It is an amenable number.

420137952 is an abundant number, since it is smaller than the sum of its proper divisors (767563248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420137952 is a wasteful number, since it uses less digits than its factorization.

420137952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336675 (or 336667 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 420137952 is about 20497.2669397654. The cubic root of 420137952 is about 748.9692222007.

Adding to 420137952 its reverse (259731024), we get a palindrome (679868976).

The spelling of 420137952 in words is "four hundred twenty million, one hundred thirty-seven thousand, nine hundred fifty-two".